MATH07012 2009 Mathematics and Statistics

General Details

Full Title

Mathematics and Statistics

Transcript Title

Mathematics and Statistics

Code

MATH07012

Attendance

N/A %

Subject Area

MATH - 0541 Mathematics

Department

MENG - Mech. and Electronic Eng.

Level

07 - Level 7

Credit

05 - 05 Credits

Duration

Semester

Fee

€

Start Term

2009 - Full Academic Year 2009-10

End Term

9999 - The End of Time

Author(s)

Grace Corcoran

Programme Membership

SG_EQUAL_J07 200900 Bachelor of Science in Quality SG_EQUAL_J07 200900 Bachelor of Science in Quality SG_EENGI_B07 200900 Bachelor of Science in Engineering Management

Description

Apply statistical and probability techniques to present and analyse data. The student will be able to use differentiation to solve optimisation problems calculate % errors.

Learning Outcomes

On completion of this module the learner will/should be able to;

Rearrange and solve practical algebraic, logarithmic and trigonometrical equations

Draw and interpret graphs

Use differentiation techniques of product, quotient and chain rule to differentiate explicit functions

Use partial differentiation to calculate rates of change and % errors

Apply the product, quotient and chain rule to solve optimisation problem

Compute the mean, median, mode, standard deviation and variance of data

Apply the probability rules to calculate the probability of events

Use the binomial, Poisson and standard normal distribution to calculate the probability of events

Indicative Syllabus

Functions, rectangular coordinates, and equation of straight line, polynomial cubic and experimental graphs. Transformation of exponential graph to straight line form by logs graphs, reduction of non linear graphs to straight line format, quadratic, exponential and trigonometric functions
Rules of indices, logarithms, base 10 and e, solution of logarithmic equations, exponential functions, growth and decay curves, half-life problems
Solve quadratic equations, simultaneous three unknowns, partial factors, remainder theorem and factor theorem, transformation of formulae
Applications of differentiation to engineering problems of velocity, acceleration,
Trigonometry: Solution of right angled and non-right angled triangles, trigonometric identities, graph of trig functions
Calculus: Differentiation of a wide range of polynomial and trigonometric functions. Product, quotient and chain rule. Maxima and Minima, rates of change, and partial differentiation
Organisation of raw data into classes, class boundaries and class intervals. Frequencies and relative frequencies, histograms. Measurement of central tendency-mean, median, mode. Cumulative frequency curve, quartiles, interquartile range. Dispersion- range, variance and standard deviation
Probability Laws - independent and dependent events, addition and multiplication laws.
Normal distribution curve, standard normal curve, and area under the standard normal curve. Binomial and Poisson distributions

Coursework & Assessment Breakdown

Coursework & Continuous Assessment

30 %

End of Semester / Year Formal Exam

70 %

Coursework Assessment

	Title	Type	Form	Percent	Week	Learning Outcomes Assessed
1	Other Exam Christmas exam o/l and written	Coursework Assessment	UNKNOWN	15 %	OnGoing	1,2,3,4,5,6,7,8
2	Other Exam easter exam o/l and written	Coursework Assessment	UNKNOWN	15 %	OnGoing	1,2,3,4,5,6,7,8

End of Semester / Year Assessment

	Title	Type	Form	Percent	Week	Learning Outcomes Assessed
1	Final Exam final exam	Final Exam	UNKNOWN	70 %	End of Year	1,2,3,4,5,6,7,8

Part Time Mode Workload

Type	Location	Description	Hours	Frequency	Avg Workload
Lecture	Distance Learning Suite	Theory	2	Weekly	2.00
Tutorial	Distance Learning Suite	practical hours	1	Weekly	1.00

Total Part Time Average Weekly Learner Contact Time 3.00 Hours

Module Resources

Non ISBN Literary Resources

Authors	Title	Publishers	Year
K.A.Stroud	Engineering Mathematics	Palgrave and Macmillan	2007

Other Resources

None